5312976261120 has 2184 divisors, whose sum is σ = 22375962865368. Its totient is φ = 1205222768640.

The previous prime is 5312976261107. The next prime is 5312976261121. The reversal of 5312976261120 is 211626792135.

5312976261120 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 9 + 7 + 6 + 2 + 611 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2254898663424 + 3058077597696 = 1501632^2 + 1748736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312976261121) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 30710845354 + ... + 30710845526.

Almost surely, 2^{5312976261120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312976261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187981432684).

5312976261120 is an abundant number, since it is smaller than the sum of its proper divisors (17062986604248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5312976261120 is a wasteful number, since it uses less digits than its factorization.

5312976261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 5312976261120 in words is "five trillion, three hundred twelve billion, nine hundred seventy-six million, two hundred sixty-one thousand, one hundred twenty".